Right triangle methods.
Pythagorean theorem and trig ratios for right triangles.
Right
AI Solver by AskSia
Triangle Side Solver: every side, computed
Type or photograph the known data. AskSia applies the law of sines, law of cosines, Pythagorean theorem, or trig ratios to find every missing side, with each step labeled.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
How do you find the sides of a triangle?
Several methods work depending on what you know. For a right triangle: Pythagorean theorem a^2 + b^2 = c^2 finds a missing side from the other two; trig ratios (sin, cos, tan) find a side from one side and one angle. For a general triangle: law of sines a/sin(A) = b/sin(B) = c/sin(C) works when you have an angle-side pair plus one more piece; law of cosines c^2 = a^2 + b^2 - 2ab*cos(C) works for SAS or as a check.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Triangle Side.
Every step transparent, every answer self-checked.
Law of sines.
Angle-side pair plus one more piece. Set up proportion, cross-multiply.
Sines
Law of cosines.
Two sides and included angle? Direct formula for the third side.
Cosines
Triangle inequality check.
Each side must be less than the sum of the other two. AskSia verifies.
Validity
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Triangle Side problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
Hi! What are we studying today?
Ask about your homework, lecture, or readings...↑
Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
☰
AskSia
+What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Triangle Side solver covers.
Pythagorean side.
Right triangle with two sides given. Find the third.
Pythagorean
Trig ratio side.
Right triangle with one side and one acute angle.
Trig
Law of sines side.
ASA or AAS configuration.
Sines
Law of cosines side.
SAS configuration. Direct formula.
Cosines
SSA side ambiguity.
Two sides and non-included angle. May have two valid third sides.
SSA
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
How do I know which formula to use for the missing side?
Look at what you have. Right triangle plus two sides: Pythagorean. Right triangle plus one side and one acute angle: trig ratio. General triangle plus an angle-side pair plus one more piece: law of sines. General triangle plus SAS: law of cosines. AskSia identifies the configuration and picks the cleanest method.
What is the triangle inequality?
The triangle inequality says each side of a valid triangle must be less than the sum of the other two: a < b + c, b < a + c, c < a + b. If three given lengths violate this inequality, they cannot form a triangle. AskSia checks the triangle inequality on any input and flags an error if it fails.
Can law of sines give two different sides in the SSA case?
Yes, in the ambiguous SSA case. Given two sides and the angle not between them, there may be two valid triangles with different third sides. AskSia detects ambiguity by checking the relationship between the opposite-side length, the adjacent side, and the given angle, and reports both candidate triangles when applicable.
How does AskSia handle the law of cosines for a side?
For SAS (two sides a, b and the included angle C), the third side c is computed from c^2 = a^2 + b^2 - 2*a*b*cos(C). AskSia substitutes the values, performs the arithmetic, and takes the square root. The result is the third side c, with both exact and decimal forms reported when relevant.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
Start Today
Pythagorean, trig, sines, cosines.
Join 2M+ students using AskSia to solve triangle side problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
Let's Get in Touch
